λ
Harmonic Matrix

9,240,476

22 × 7 × 330017
Abundant Even Composite

9,240,476 has digital root 5. The neighboring primes are 9240467 and 9240509; its proper-divisor sum differs from the starting integer by 56.

Prime Factor Structure

Factorization String 2^2 × 7 × 330017
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 18,481,008
Proper Divisor Sum 9,240,532
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9240467 ← → #9240509

Radix Representation

Decimal 9240476
Binary 100011001111111110011100 (24 bits)
Octal 0o43177634
Hexadecimal 0x8CFF9C

Divisor Catalog (12)

1 2 4 7 14 28 330,017 660,034 1,320,068 2,310,119 4,620,238 9,240,476

Collatz Trajectory (212 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,240,476 4,620,238 2,310,119 6,930,358 3,465,179 10,395,538 5,197,769 15,593,308 7,796,654 3,898,327 11,694,982 5,847,491 17,542,474 8,771,237 26,313,712 13,156,856 6,578,428 3,289,214 1,644,607 4,933,822 2,466,911 7,400,734 3,700,367 11,101,102 5,550,551 16,651,654 8,325,827 24,977,482 12,488,741 37,466,224 18,733,112 9,366,556 4,683,278 2,341,639 7,024,918 3,512,459 10,537,378 5,268,689 15,806,068 7,903,034 3,951,517 11,854,552 5,927,276 2,963,638 1,481,819 4,445,458 2,222,729 6,668,188 3,334,094 1,667,047 5,001,142 2,500,571 7,501,714 3,750,857 11,252,572 5,626,286 2,813,143 8,439,430 4,219,715 12,659,146

More profiles

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